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Do you guys think that EK Physics #22 would be on the real MCAT? At first I had no idea of how to get to the answer until I went to the back of the book.
The one part of the question that got me is when we had to form the proper formula. Velocity in the vertical direction is defined by the vertical displacement over time. So the vertical displacement is 5 because the diameter of the half circle is 10. So now hat we have the vertical displacement, we now have to find the time it takes to get to the half way point on the half circle. So time is defined by distance over velocity. The back of the book says the distance is 2pi(5)/4 divided by 5pi. I understand that the 2pi(5)/4 means we are manipulating the circumference equation of a circle 2pi(r) and dividing it by 4 so that we know the half way point on the half circle. I also understand the 5pi that is divided by 2pi(5)/4 because that is the constant speed that we are moving at. The question I don't get is: Why are we using 2pi(5)/4 to define a distance on the half circle (the half way point of the half circle) and then just prior to that defining the vertical displacement on the half circle as 5?
In other words, why do we use 2 distances?
The one part of the question that got me is when we had to form the proper formula. Velocity in the vertical direction is defined by the vertical displacement over time. So the vertical displacement is 5 because the diameter of the half circle is 10. So now hat we have the vertical displacement, we now have to find the time it takes to get to the half way point on the half circle. So time is defined by distance over velocity. The back of the book says the distance is 2pi(5)/4 divided by 5pi. I understand that the 2pi(5)/4 means we are manipulating the circumference equation of a circle 2pi(r) and dividing it by 4 so that we know the half way point on the half circle. I also understand the 5pi that is divided by 2pi(5)/4 because that is the constant speed that we are moving at. The question I don't get is: Why are we using 2pi(5)/4 to define a distance on the half circle (the half way point of the half circle) and then just prior to that defining the vertical displacement on the half circle as 5?
In other words, why do we use 2 distances?
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